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Finding the Fourth Proportional to 287,768.00, 431,691.39 and 98,177.47

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Solution

The fourth proportional to 287,768.00, 431,691.39 and 98,177.47 is: 147,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,768.00 : 431,691.39 = 98,177.47 : x
  2. Step 2: Convert to fraction form
    287,768.00/431,691.39 = 98,177.47/x
  3. Step 3: Cross multiply
    287,768.00x = 431,691.39 × 98,177.47
  4. Step 4: Simplify right side
    287,768.00x = 42,382,367,411.75
  5. Step 5: Solve for x
    x = 42,382,367,411.75/287,768.00
  6. Step 6: Final answer
    x = 147,279.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.